Swiss-Cheese Operad and Drinfeld Center
- Author
- N. I.
- Publication
- In: Israel J. Math. (2017) 221.2, pp. 941–972.
- Online on
- Online on .
- Accepted on
- Accepted on .
- Updated on
- Updated on .
- Full text
- Full text
- DOI:10.1007/s11856-017-1579-7
- DOI:10.1007/s11856-017-1579-7
- arXiv:1507.06844
- arXiv:1507.06844
- hal-01438863
- hal-01438863
- MR3704940
- MR3704940
- Zbl 06808424
- Zbl 06808424
Abstract
We build a model in groupoids for the Swiss-Cheese operad, based on parenthesized permutations and braids, and we relate algebras over this model to the classical description of algebras over the homology of the Swiss-Cheese operad. We extend our model to a rational model for the Swiss-Cheese operad, and we compare it to the model that we would get if the operad Swiss-Cheese were formal.